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Finding the Fourth Proportional to 54,846.62, 82,269.93 and 13,293.62

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Solution

The fourth proportional to 54,846.62, 82,269.93 and 13,293.62 is: 19,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,846.62 : 82,269.93 = 13,293.62 : x
  2. Step 2: Convert to fraction form
    54,846.62/82,269.93 = 13,293.62/x
  3. Step 3: Cross multiply
    54,846.62x = 82,269.93 × 13,293.62
  4. Step 4: Simplify right side
    54,846.62x = 1,093,665,186.85
  5. Step 5: Solve for x
    x = 1,093,665,186.85/54,846.62
  6. Step 6: Final answer
    x = 19,940.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.